TSTP Solution File: SET027-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET027-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:28:03 EDT 2023
% Result : Unsatisfiable 0.59s 0.84s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET027-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:42:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.59/0.83 %-------------------------------------------
% 0.59/0.83 % File :CSE---1.6
% 0.59/0.83 % Problem :theBenchmark
% 0.59/0.83 % Transform :cnf
% 0.59/0.83 % Format :tptp:raw
% 0.59/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.83
% 0.59/0.83 % Result :Theorem 0.160000s
% 0.59/0.83 % Output :CNFRefutation 0.160000s
% 0.59/0.83 %-------------------------------------------
% 0.59/0.83 %--------------------------------------------------------------------------
% 0.59/0.83 % File : SET027-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.59/0.83 % Domain : Set Theory
% 0.59/0.83 % Problem : Transitivity of subset
% 0.59/0.83 % Version : [Qua92] axioms : Augmented.
% 0.59/0.83 % English :
% 0.59/0.83
% 0.59/0.83 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.59/0.83 % Source : [Quaife]
% 0.59/0.83 % Names : PO3 [Qua92]
% 0.59/0.83
% 0.59/0.83 % Status : Unsatisfiable
% 0.59/0.83 % Rating : 0.19 v8.1.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.09 v2.4.0, 0.00 v2.1.0
% 0.59/0.83 % Syntax : Number of clauses : 99 ( 33 unt; 8 nHn; 69 RR)
% 0.59/0.83 % Number of literals : 193 ( 39 equ; 89 neg)
% 0.59/0.83 % Maximal clause size : 5 ( 1 avg)
% 0.59/0.83 % Maximal term depth : 6 ( 1 avg)
% 0.59/0.83 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.59/0.83 % Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% 0.59/0.83 % Number of variables : 193 ( 35 sgn)
% 0.59/0.83 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.83
% 0.59/0.83 % Comments : Preceding lemmas are added.
% 0.59/0.83 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.59/0.83 %--------------------------------------------------------------------------
% 0.59/0.83 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.59/0.83 include('Axioms/SET004-0.ax').
% 0.59/0.83 %--------------------------------------------------------------------------
% 0.59/0.83 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.59/0.83 cnf(corollary_1_to_unordered_pair,axiom,
% 0.59/0.83 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.59/0.83 | member(X,unordered_pair(X,Y)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(corollary_2_to_unordered_pair,axiom,
% 0.59/0.83 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.59/0.83 | member(Y,unordered_pair(X,Y)) ) ).
% 0.59/0.83
% 0.59/0.83 %----Corollaries to Cartesian product axiom.
% 0.59/0.83 cnf(corollary_1_to_cartesian_product,axiom,
% 0.59/0.83 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.59/0.83 | member(U,universal_class) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(corollary_2_to_cartesian_product,axiom,
% 0.59/0.83 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.59/0.83 | member(V,universal_class) ) ).
% 0.59/0.83
% 0.59/0.83 %---- PARTIAL ORDER.
% 0.59/0.83 %----(PO1): reflexive.
% 0.59/0.83 cnf(subclass_is_reflexive,axiom,
% 0.59/0.83 subclass(X,X) ).
% 0.59/0.83
% 0.59/0.83 %----(PO2): antisymmetry is part of A-3.
% 0.59/0.83 %----(x < y), (y < x) --> (x = y).
% 0.59/0.83
% 0.59/0.83 cnf(prove_transitivity_of_subclass_1,negated_conjecture,
% 0.59/0.83 subclass(x,y) ).
% 0.59/0.83
% 0.59/0.83 cnf(prove_transitivity_of_subclass_2,negated_conjecture,
% 0.59/0.84 subclass(y,z) ).
% 0.59/0.84
% 0.59/0.84 cnf(prove_transitivity_of_subclass_3,negated_conjecture,
% 0.59/0.84 ~ subclass(x,z) ).
% 0.59/0.84
% 0.59/0.84 %--------------------------------------------------------------------------
% 0.59/0.84 %-------------------------------------------
% 0.59/0.84 % Proof found
% 0.59/0.84 % SZS status Theorem for theBenchmark
% 0.59/0.84 % SZS output start Proof
% 0.59/0.84 %ClaNum:126(EqnAxiom:42)
% 0.59/0.84 %VarNum:756(SingletonVarNum:167)
% 0.59/0.84 %MaxLitNum:5
% 0.59/0.84 %MaxfuncDepth:24
% 0.59/0.84 %SharedTerms:35
% 0.59/0.84 %goalClause: 45 46 60
% 0.59/0.84 %singleGoalClaCount:3
% 0.59/0.84 [43]P1(a1)
% 0.59/0.84 [44]P2(a2)
% 0.59/0.84 [45]P5(a17,a25)
% 0.59/0.84 [46]P5(a25,a26)
% 0.59/0.84 [47]P6(a1,a18)
% 0.59/0.84 [60]~P5(a17,a26)
% 0.59/0.84 [50]P5(a4,f5(a18,a18))
% 0.59/0.84 [51]P5(a19,f5(a18,a18))
% 0.59/0.84 [57]E(f9(f8(f10(f5(a22,a18))),a22),a12)
% 0.59/0.84 [58]E(f9(f5(a18,a18),f9(f5(a18,a18),f7(f6(f7(a4),f8(f10(f5(a4,a18))))))),a22)
% 0.59/0.84 [48]P5(x481,a18)
% 0.59/0.84 [49]P5(x491,x491)
% 0.59/0.84 [55]P5(f20(x551),f5(f5(a18,a18),a18))
% 0.59/0.84 [56]P5(f10(x561),f5(f5(a18,a18),a18))
% 0.59/0.84 [59]E(f9(f8(x591),f7(f8(f9(f6(f8(f10(f5(a4,a18))),x591),a12)))),f3(x591))
% 0.59/0.84 [52]P6(f24(x521,x522),a18)
% 0.59/0.84 [53]P5(f6(x531,x532),f5(a18,a18))
% 0.59/0.84 [54]E(f9(f5(x541,x542),x543),f9(x543,f5(x541,x542)))
% 0.59/0.84 [61]~P7(x611)+P2(x611)
% 0.59/0.84 [62]~P8(x621)+P2(x621)
% 0.59/0.84 [65]~P1(x651)+P5(a1,x651)
% 0.59/0.84 [66]~P1(x661)+P6(a13,x661)
% 0.59/0.84 [68]P6(f21(x681),x681)+E(x681,a13)
% 0.59/0.84 [69]~P2(x691)+P5(x691,f5(a18,a18))
% 0.59/0.84 [67]E(x671,a13)+E(f9(x671,f21(x671)),a13)
% 0.59/0.84 [77]~P8(x771)+E(f5(f8(f8(x771)),f8(f8(x771))),f8(x771))
% 0.59/0.84 [87]~P7(x871)+P2(f8(f10(f5(x871,a18))))
% 0.59/0.84 [91]~P6(x911,a18)+P6(f8(f9(a4,f5(a18,x911))),a18)
% 0.59/0.84 [93]~P9(x931)+P5(f6(x931,f8(f10(f5(x931,a18)))),a12)
% 0.59/0.84 [94]~P2(x941)+P5(f6(x941,f8(f10(f5(x941,a18)))),a12)
% 0.59/0.84 [95]~P8(x951)+P5(f8(f8(f10(f5(x951,a18)))),f8(f8(x951)))
% 0.59/0.84 [100]P9(x1001)+~P5(f6(x1001,f8(f10(f5(x1001,a18)))),a12)
% 0.59/0.84 [113]~P1(x1131)+P5(f8(f8(f10(f5(f9(a19,f5(x1131,a18)),a18)))),x1131)
% 0.59/0.84 [117]~P6(x1171,a18)+P6(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1171),a18)),a18))))),a18)
% 0.59/0.84 [63]~E(x632,x631)+P5(x631,x632)
% 0.59/0.84 [64]~E(x641,x642)+P5(x641,x642)
% 0.59/0.84 [71]P5(x711,x712)+P6(f14(x711,x712),x711)
% 0.59/0.84 [72]~P6(x721,x722)+~P6(x721,f7(x722))
% 0.59/0.84 [75]~P6(x751,a18)+P6(x751,f24(x752,x751))
% 0.59/0.84 [76]~P6(x761,a18)+P6(x761,f24(x761,x762))
% 0.59/0.84 [81]P5(x811,x812)+~P6(f14(x811,x812),x812)
% 0.59/0.84 [90]~P6(x902,f8(x901))+~E(f9(x901,f5(f24(x902,x902),a18)),a13)
% 0.59/0.84 [99]P6(x991,x992)+~P6(f24(f24(x991,x991),f24(x991,f24(x992,x992))),a4)
% 0.59/0.84 [110]~P6(f24(f24(x1101,x1101),f24(x1101,f24(x1102,x1102))),a19)+E(f7(f9(f7(x1101),f7(f24(x1101,x1101)))),x1102)
% 0.59/0.84 [83]P2(x831)+~P3(x831,x832,x833)
% 0.59/0.84 [84]P8(x841)+~P4(x842,x843,x841)
% 0.59/0.84 [85]P8(x851)+~P4(x852,x851,x853)
% 0.59/0.84 [89]~P4(x891,x892,x893)+P3(x891,x892,x893)
% 0.59/0.84 [79]P6(x791,x792)+~P6(x791,f9(x793,x792))
% 0.59/0.84 [80]P6(x801,x802)+~P6(x801,f9(x802,x803))
% 0.59/0.84 [86]~P3(x862,x861,x863)+E(f8(f8(x861)),f8(x862))
% 0.59/0.84 [96]~P6(x961,f5(x962,x963))+E(f24(f24(f11(x961),f11(x961)),f24(f11(x961),f24(f23(x961),f23(x961)))),x961)
% 0.59/0.84 [98]~P3(x981,x983,x982)+P5(f8(f8(f10(f5(x981,a18)))),f8(f8(x982)))
% 0.59/0.84 [101]P6(x1011,a18)+~P6(f24(f24(x1012,x1012),f24(x1012,f24(x1011,x1011))),f5(x1013,x1014))
% 0.59/0.84 [102]P6(x1021,a18)+~P6(f24(f24(x1021,x1021),f24(x1021,f24(x1022,x1022))),f5(x1023,x1024))
% 0.59/0.84 [103]P6(x1031,x1032)+~P6(f24(f24(x1033,x1033),f24(x1033,f24(x1031,x1031))),f5(x1034,x1032))
% 0.59/0.84 [104]P6(x1041,x1042)+~P6(f24(f24(x1041,x1041),f24(x1041,f24(x1043,x1043))),f5(x1042,x1044))
% 0.59/0.84 [106]P6(x1061,f24(x1062,x1061))+~P6(f24(f24(x1062,x1062),f24(x1062,f24(x1061,x1061))),f5(x1063,x1064))
% 0.59/0.84 [107]P6(x1071,f24(x1071,x1072))+~P6(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),f5(x1073,x1074))
% 0.59/0.84 [118]~P6(f24(f24(f24(f24(x1183,x1183),f24(x1183,f24(x1181,x1181))),f24(f24(x1183,x1183),f24(x1183,f24(x1181,x1181)))),f24(f24(f24(x1183,x1183),f24(x1183,f24(x1181,x1181))),f24(x1182,x1182))),f20(x1184))+P6(f24(f24(f24(f24(x1181,x1181),f24(x1181,f24(x1182,x1182))),f24(f24(x1181,x1181),f24(x1181,f24(x1182,x1182)))),f24(f24(f24(x1181,x1181),f24(x1181,f24(x1182,x1182))),f24(x1183,x1183))),x1184)
% 0.59/0.84 [119]~P6(f24(f24(f24(f24(x1192,x1192),f24(x1192,f24(x1191,x1191))),f24(f24(x1192,x1192),f24(x1192,f24(x1191,x1191)))),f24(f24(f24(x1192,x1192),f24(x1192,f24(x1191,x1191))),f24(x1193,x1193))),f10(x1194))+P6(f24(f24(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192)))),f24(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f24(x1193,x1193))),x1194)
% 0.59/0.84 [123]~P6(f24(f24(x1234,x1234),f24(x1234,f24(x1231,x1231))),f6(x1232,x1233))+P6(x1231,f8(f8(f10(f5(f9(x1232,f5(f8(f8(f10(f5(f9(x1233,f5(f24(x1234,x1234),a18)),a18)))),a18)),a18)))))
% 0.59/0.84 [92]~P2(x921)+P7(x921)+~P2(f8(f10(f5(x921,a18))))
% 0.59/0.84 [105]P2(x1051)+~P5(x1051,f5(a18,a18))+~P5(f6(x1051,f8(f10(f5(x1051,a18)))),a12)
% 0.59/0.84 [115]P1(x1151)+~P6(a13,x1151)+~P5(f8(f8(f10(f5(f9(a19,f5(x1151,a18)),a18)))),x1151)
% 0.59/0.84 [122]~P6(x1221,a18)+E(x1221,a13)+P6(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(a2,f5(f24(x1221,x1221),a18)),a18))))))),x1221)
% 0.59/0.84 [70]~P5(x702,x701)+~P5(x701,x702)+E(x701,x702)
% 0.59/0.84 [73]P6(x731,x732)+P6(x731,f7(x732))+~P6(x731,a18)
% 0.59/0.84 [88]P6(x882,f8(x881))+~P6(x882,a18)+E(f9(x881,f5(f24(x882,x882),a18)),a13)
% 0.59/0.84 [111]~P6(x1111,x1112)+~P6(f24(f24(x1111,x1111),f24(x1111,f24(x1112,x1112))),f5(a18,a18))+P6(f24(f24(x1111,x1111),f24(x1111,f24(x1112,x1112))),a4)
% 0.59/0.84 [112]~P6(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),f5(a18,a18))+~E(f7(f9(f7(x1121),f7(f24(x1121,x1121)))),x1122)+P6(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),a19)
% 0.59/0.84 [114]~P2(x1141)+~P6(x1142,a18)+P6(f8(f8(f10(f5(f9(x1141,f5(x1142,a18)),a18)))),a18)
% 0.59/0.84 [74]~P6(x741,x743)+P6(x741,x742)+~P5(x743,x742)
% 0.59/0.84 [78]E(x781,x782)+E(x781,x783)+~P6(x781,f24(x783,x782))
% 0.59/0.84 [82]~P6(x821,x823)+~P6(x821,x822)+P6(x821,f9(x822,x823))
% 0.59/0.84 [97]~P6(x972,x974)+~P6(x971,x973)+P6(f24(f24(x971,x971),f24(x971,f24(x972,x972))),f5(x973,x974))
% 0.59/0.84 [120]~P6(f24(f24(f24(f24(x1202,x1202),f24(x1202,f24(x1203,x1203))),f24(f24(x1202,x1202),f24(x1202,f24(x1203,x1203)))),f24(f24(f24(x1202,x1202),f24(x1202,f24(x1203,x1203))),f24(x1201,x1201))),x1204)+P6(f24(f24(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202)))),f24(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f24(x1203,x1203))),f20(x1204))+~P6(f24(f24(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202)))),f24(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f24(x1203,x1203))),f5(f5(a18,a18),a18))
% 0.59/0.84 [121]~P6(f24(f24(f24(f24(x1212,x1212),f24(x1212,f24(x1211,x1211))),f24(f24(x1212,x1212),f24(x1212,f24(x1211,x1211)))),f24(f24(f24(x1212,x1212),f24(x1212,f24(x1211,x1211))),f24(x1213,x1213))),x1214)+P6(f24(f24(f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212))),f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212)))),f24(f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212))),f24(x1213,x1213))),f10(x1214))+~P6(f24(f24(f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212))),f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212)))),f24(f24(f24(x1211,x1211),f24(x1211,f24(x1212,x1212))),f24(x1213,x1213))),f5(f5(a18,a18),a18))
% 0.59/0.84 [124]P6(f24(f24(x1241,x1241),f24(x1241,f24(x1242,x1242))),f6(x1243,x1244))+~P6(f24(f24(x1241,x1241),f24(x1241,f24(x1242,x1242))),f5(a18,a18))+~P6(x1242,f8(f8(f10(f5(f9(x1243,f5(f8(f8(f10(f5(f9(x1244,f5(f24(x1241,x1241),a18)),a18)))),a18)),a18)))))
% 0.59/0.84 [125]~P4(x1252,x1255,x1251)+~P6(f24(f24(x1253,x1253),f24(x1253,f24(x1254,x1254))),f8(x1255))+E(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1251,f5(f24(f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1254,x1254),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1254,x1254),a18)),a18)))))))))),f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1253,x1253),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1254,x1254),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(x1254,x1254),a18)),a18))))))))))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1252,f5(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1255,f5(f24(f24(f24(x1253,x1253),f24(x1253,f24(x1254,x1254))),f24(f24(x1253,x1253),f24(x1253,f24(x1254,x1254)))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1255,f5(f24(f24(f24(x1253,x1253),f24(x1253,f24(x1254,x1254))),f24(f24(x1253,x1253),f24(x1253,f24(x1254,x1254)))),a18)),a18)))))))),a18)),a18))))))))
% 0.59/0.84 [109]~P2(x1091)+P8(x1091)+~E(f5(f8(f8(x1091)),f8(f8(x1091))),f8(x1091))+~P5(f8(f8(f10(f5(x1091,a18)))),f8(f8(x1091)))
% 0.59/0.84 [108]~P2(x1081)+P3(x1081,x1082,x1083)+~E(f8(f8(x1082)),f8(x1081))+~P5(f8(f8(f10(f5(x1081,a18)))),f8(f8(x1083)))
% 0.59/0.84 [116]~P8(x1163)+~P8(x1162)+~P3(x1161,x1162,x1163)+P4(x1161,x1162,x1163)+P6(f24(f24(f15(x1161,x1162,x1163),f15(x1161,x1162,x1163)),f24(f15(x1161,x1162,x1163),f24(f16(x1161,x1162,x1163),f16(x1161,x1162,x1163)))),f8(x1162))
% 0.59/0.84 [126]~P8(x1263)+~P8(x1262)+~P3(x1261,x1262,x1263)+P4(x1261,x1262,x1263)+~E(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1263,f5(f24(f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)),a18)),a18)))))))))),f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)),a18)),a18))))))))))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1261,f5(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1262,f5(f24(f24(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),f24(f15(x1261,x1262,x1263),f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)))),f24(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),f24(f15(x1261,x1262,x1263),f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263))))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1262,f5(f24(f24(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),f24(f15(x1261,x1262,x1263),f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263)))),f24(f24(f15(x1261,x1262,x1263),f15(x1261,x1262,x1263)),f24(f15(x1261,x1262,x1263),f24(f16(x1261,x1262,x1263),f16(x1261,x1262,x1263))))),a18)),a18)))))))),a18)),a18))))))))
% 0.59/0.84 %EqnAxiom
% 0.59/0.84 [1]E(x11,x11)
% 0.59/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.84 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.59/0.84 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.59/0.84 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.59/0.84 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 0.59/0.84 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 0.59/0.84 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.59/0.84 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.59/0.84 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.59/0.84 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.59/0.84 [13]~E(x131,x132)+E(f10(x131),f10(x132))
% 0.59/0.84 [14]~E(x141,x142)+E(f15(x141,x143,x144),f15(x142,x143,x144))
% 0.59/0.84 [15]~E(x151,x152)+E(f15(x153,x151,x154),f15(x153,x152,x154))
% 0.59/0.84 [16]~E(x161,x162)+E(f15(x163,x164,x161),f15(x163,x164,x162))
% 0.59/0.84 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.59/0.84 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.59/0.84 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.59/0.84 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 0.59/0.84 [21]~E(x211,x212)+E(f20(x211),f20(x212))
% 0.59/0.84 [22]~E(x221,x222)+E(f11(x221),f11(x222))
% 0.59/0.84 [23]~E(x231,x232)+E(f23(x231),f23(x232))
% 0.59/0.84 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.59/0.84 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.59/0.84 [26]~E(x261,x262)+E(f21(x261),f21(x262))
% 0.59/0.84 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.59/0.84 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.59/0.84 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.59/0.84 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.59/0.84 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.59/0.84 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.59/0.84 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.59/0.84 [34]~P8(x341)+P8(x342)+~E(x341,x342)
% 0.59/0.84 [35]P3(x352,x353,x354)+~E(x351,x352)+~P3(x351,x353,x354)
% 0.59/0.84 [36]P3(x363,x362,x364)+~E(x361,x362)+~P3(x363,x361,x364)
% 0.59/0.84 [37]P3(x373,x374,x372)+~E(x371,x372)+~P3(x373,x374,x371)
% 0.59/0.84 [38]~P9(x381)+P9(x382)+~E(x381,x382)
% 0.59/0.84 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.59/0.84 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.59/0.84 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.59/0.84 [42]~P7(x421)+P7(x422)+~E(x421,x422)
% 0.59/0.84
% 0.59/0.84 %-------------------------------------------
% 0.59/0.85 cnf(130,plain,
% 0.59/0.85 (~E(a26,a17)),
% 0.59/0.85 inference(scs_inference,[],[60,57,2,64,63])).
% 0.59/0.85 cnf(133,plain,
% 0.59/0.85 (~E(a25,a17)),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,57,2,64,63,31,30])).
% 0.59/0.85 cnf(134,plain,
% 0.59/0.85 (~P5(a26,a25)),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,57,2,64,63,31,30,70])).
% 0.59/0.85 cnf(160,plain,
% 0.59/0.85 (E(f16(x1601,x1602,f9(f8(f10(f5(a22,a18))),a22)),f16(x1601,x1602,a12))),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19])).
% 0.59/0.85 cnf(161,plain,
% 0.59/0.85 (E(f16(x1611,f9(f8(f10(f5(a22,a18))),a22),x1612),f16(x1611,a12,x1612))),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18])).
% 0.59/0.85 cnf(178,plain,
% 0.59/0.85 (~P6(f14(a17,a26),a26)),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81])).
% 0.59/0.85 cnf(180,plain,
% 0.59/0.85 (P6(f14(a17,a26),a17)),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81,71])).
% 0.59/0.85 cnf(188,plain,
% 0.59/0.85 (~E(a18,f7(a18))),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81,71,103,104,99,33])).
% 0.59/0.85 cnf(200,plain,
% 0.59/0.85 (P6(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f5(a18,a18))),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81,71,103,104,99,33,32,74,73,114,82,78,97])).
% 0.59/0.85 cnf(202,plain,
% 0.59/0.85 (P9(a2)),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81,71,103,104,99,33,32,74,73,114,82,78,97,100])).
% 0.59/0.85 cnf(204,plain,
% 0.59/0.85 (~P6(f24(f24(f24(f24(x2041,x2041),f24(x2041,f24(x2042,x2042))),f24(f24(x2041,x2041),f24(x2041,f24(x2042,x2042)))),f24(f24(f24(x2041,x2041),f24(x2041,f24(x2042,x2042))),f24(a1,a1))),f10(f5(x2043,f7(a18))))),
% 0.59/0.85 inference(scs_inference,[],[45,46,60,43,44,47,57,2,64,63,31,30,70,66,69,117,113,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,81,71,103,104,99,33,32,74,73,114,82,78,97,100,119])).
% 0.59/0.85 cnf(230,plain,
% 0.59/0.85 (~P6(f24(f24(f24(f24(x2301,x2301),f24(x2301,f24(x2302,x2302))),f24(f24(x2301,x2301),f24(x2301,f24(x2302,x2302)))),f24(f24(f24(x2301,x2301),f24(x2301,f24(x2302,x2302))),f24(a1,a1))),f9(f10(f5(x2303,f7(a18))),x2304))),
% 0.59/0.85 inference(scs_inference,[],[204,80])).
% 0.59/0.85 cnf(243,plain,
% 0.59/0.85 (P5(x2431,x2431)),
% 0.59/0.85 inference(rename_variables,[],[49])).
% 0.59/0.85 cnf(250,plain,
% 0.59/0.85 (P6(f24(x2501,x2502),a18)),
% 0.59/0.85 inference(rename_variables,[],[52])).
% 0.59/0.85 cnf(260,plain,
% 0.59/0.85 (P6(f14(a17,a26),a25)),
% 0.59/0.85 inference(scs_inference,[],[45,49,243,54,52,250,44,204,200,160,161,130,180,188,133,134,202,80,79,96,64,63,78,31,3,70,73,114,82,2,30,38,74])).
% 0.59/0.85 cnf(262,plain,
% 0.59/0.85 (~E(a18,f10(f5(x2621,f7(a18))))),
% 0.59/0.85 inference(scs_inference,[],[45,49,243,54,52,250,44,204,200,160,161,130,180,188,133,134,202,80,79,96,64,63,78,31,3,70,73,114,82,2,30,38,74,33])).
% 0.59/0.85 cnf(280,plain,
% 0.59/0.85 (~P5(a18,f9(f10(f5(x2801,f7(a18))),x2802))),
% 0.59/0.85 inference(scs_inference,[],[48,52,230,262,70,74])).
% 0.59/0.85 cnf(311,plain,
% 0.59/0.85 ($false),
% 0.59/0.85 inference(scs_inference,[],[46,280,178,260,64,63,74]),
% 0.59/0.85 ['proof']).
% 0.59/0.85 % SZS output end Proof
% 0.59/0.85 % Total time :0.160000s
%------------------------------------------------------------------------------